如果X^2-y^2=4,那么(x-y)^2(x+y)^2=?

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如果X^2-y^2=4,那么(x-y)^2(x+y)^2=?
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如果X^2-y^2=4,那么(x-y)^2(x+y)^2=?
如果X^2-y^2=4,那么(x-y)^2(x+y)^2=?

如果X^2-y^2=4,那么(x-y)^2(x+y)^2=?
x^2-y^2=4
所以(x-y)(x+y)=4
(x-y)^2(x+y)^2=[(x-y)(x+y)]^2=4^2=16
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解∵x^2-y^2=4
∴(x-y)(x+y)=4
(x-y)^2(x+y)^2
=(x-y)(x+y)*(x-y)(x+y)
=4*4=16